$$ \frac{16 \sqrt{3}}{\sqrt{8}} $$ After you pick your answe

Question

UpStudy AI · Accepted Answer

To simplify the expression:

$$
\frac{16 \sqrt{3}}{\sqrt{8}}
$$

**Step 1: Simplify the denominator $$\sqrt{8}$$.**

$$
\sqrt{8} = \sqrt{4 \times 2} = \sqrt{4} \times \sqrt{2} = 2\sqrt{2}
$$

**Step 2: Rewrite the original expression with the simplified denominator.**

$$
\frac{16 \sqrt{3}}{2\sqrt{2}} = \frac{16}{2} \times \frac{\sqrt{3}}{\sqrt{2}} = 8 \times \frac{\sqrt{3}}{\sqrt{2}}
$$

**Step 3: Rationalize the denominator.**

$$
\frac{\sqrt{3}}{\sqrt{2}} = \frac{\sqrt{3} \times \sqrt{2}}{\sqrt{2} \times \sqrt{2}} = \frac{\sqrt{6}}{2}
$$

**Step 4: Multiply by 8.**

$$
8 \times \frac{\sqrt{6}}{2} = 4\sqrt{6}
$$

**Final Simplified Form:**

$$
4\sqrt{6}
$$
The simplified form of the expression is $$4\sqrt{6}$$.

After you pick your answe